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Finding the Fourth Proportional to 29,153.69, 43,730.63 and 8,095.38

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Solution

The fourth proportional to 29,153.69, 43,730.63 and 8,095.38 is: 12,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.69 : 43,730.63 = 8,095.38 : x
  2. Step 2: Convert to fraction form
    29,153.69/43,730.63 = 8,095.38/x
  3. Step 3: Cross multiply
    29,153.69x = 43,730.63 × 8,095.38
  4. Step 4: Simplify right side
    29,153.69x = 354,016,067.49
  5. Step 5: Solve for x
    x = 354,016,067.49/29,153.69
  6. Step 6: Final answer
    x = 12,143.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.